y=(x+4)^2 find the inverse and show your work

the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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Answer:

28

Step-by-step explanation:

x - 5 = 34, meaning 39 = x

34 + 34 = 68

All triangles add up to 180

180 - 68 = 112

112/4 = 28

Step-by-step explanation:

it's simple:

Step-by-step explanation:

\( {x}^{2} - 12x + 36 = 90 \\ {x}^{2} - 12x - 54 = 0 \\\)

Let a=1, b=-12, c=-54

Use formula

\( \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \)

You will get

\(x = 6 + 3 \sqrt{10} \\ x = 15.48683298 \\ or \\ x = 6 - 3 \sqrt{10} \\ x = - 3.48683298\)

Answer:

x = 6 + 3\(\sqrt{10}\)

Step-by-step explanation:

if you 'un-foil' the equation \(x^{2}\) - 12x + 36 = 90 you will get the following:

(x - 6)^2 = 90

take the square root of each side and you will get the following:

x - 6 = \(\sqrt{90}\)

Add 6 to each side

x = 6 + \(\sqrt{90}\)

simplify \(\sqrt{90}\) to be \(\sqrt{9}\) x \(\sqrt{10}\)  which equals 3 \(\sqrt{10}\)

Final answer:  6 + 3\(\sqrt{10}\)

True. Small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

Small p-values indicate that the observed sample data provides strong evidence against the null hypothesis. The p-value is a measure of the strength of evidence against the null hypothesis in a hypothesis test. It represents the probability of observing the obtained sample data, or more extreme data, if the null hypothesis is true.

When the p-value is small (typically less than a predetermined significance level, such as 0.05), it suggests that the observed sample data is unlikely to have occurred by chance under the assumption of the null hypothesis. In other words, a small p-value indicates that the observed data is inconsistent with the null hypothesis.

Conversely, when the p-value is large (greater than the significance level), it suggests that the observed sample data is likely to occur by chance even if the null hypothesis is true. In such cases, there is not enough evidence to reject the null hypothesis. Therefore, small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

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The interest rate is -42.3%, where the negative sign indicates depreciation.

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

Given that, the investment of $1800 in the stock market is $278 in two years.

Therefore, the amount depreciated is:

278 - 1800

= -1522

Since 1522 is depreciated in 2 years, the amount depreciated in one year is:
1522/2

= 761

The rate at which the amount depreciated is:

(761/1800)×100%

= 42.3%

Hence, the interest rate is -42.3%, where the negative sign indicates depreciation.

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The minimum value of the function f(x, y, z) = x^2 - 4x + y^2 - 6y + z^2 - 2z + 5, subject to the constraint x + y + z = 3, is 2.

To find the minimum value of f(x, y, z) subject to the constraint x + y + z = 3, we introduce a Lagrange multiplier λ and form the Lagrangian function L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z) - 3), where g(x, y, z) represents the constraint equation.

Taking partial derivatives of L with respect to x, y, z, and λ, we obtain:

∂L/∂x = 2x - 4 - λ

∂L/∂y = 2y - 6 - λ

∂L/∂z = 2z - 2 - λ

∂L/∂λ = -(x + y + z - 3)

Setting these derivatives equal to zero, we solve the system of equations:

2x - 4 - λ = 0

2y - 6 - λ = 0

2z - 2 - λ = 0

x + y + z - 3 = 0

From the first three equations, we can rewrite λ in terms of x, y, and z:

λ = 2x - 4 = 2y - 6 = 2z - 2

Substituting λ back into the constraint equation, we get:

2x - 4 + 2y - 6 + 2z - 2 = 3

2x + 2y + 2z = 15

x + y + z = 7.5

Now, solving this system of equations, we find x = 2, y = 2, z = 3, and λ = 0. Substituting these values into f(x, y, z), we get f(2, 2, 3) = 2.

Therefore, the minimum value of the function f(x, y, z) = x^2 - 4x + y^2 - 6y + z^2 - 2z + 5, subject to the constraint x + y + z = 3, is 2.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

jimmy has 12 candy bars left

Step-by-step explanation:

28-7-9=12

Answer:

Jimmy has 12 candy bars.

Step-by-step explanation:

Subtract 28 from 7.
=21

21-9=12.
Jimmy has 12 candy bars left if he eats 7 and his mom takes 9.

60% male and 40% female

Answer:

6(3t+2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the slope is defined as

XXX

m

=

Δ

y

Δ

x

=

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A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

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Answer:

do you have the graph to solve it?

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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hope this helps you alot

Answer:

Para resolver correctamente el ejercicio debemos seguir los pasos que se muestran en la explicación.

Step-by-step explanation:

El ejercicio enunciado de manera completa es el siguiente:

7.Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son:  

(la gráfica del ejercicio se guardo como archivo adjunto)

-a = 8 cm y b = 10

-a = 9 cm y b = 11

-Ninguna de las respuestas anteriores es correcta.

SOLUCIÓN:

Pasos:

-Primero debemos hallar el valor de a, la gráfica nos indica que debemos hacer,tenemos que restar 15 de 6; entonces:

a= 15cm -6cm=9 cm

-Ahora debemos aplicar el teorema de thales  ;como los segmentos son proporcionales podemos establecer la siguiente relación de esa manera podemos hallar el valor del segmento b;

   \(\frac{9}{b}\)=\(\frac{6}{7}\) ( para resolver debemos multiplicar en cruz)

 (9x7)=6xb

 63=6b (aquí debemos hallar el valor de b,para eso b pasa a dividir a 63)

  \(\frac{63}{6}\)= b

b= 10.5 cm

La respuesta correcta es:   a= 9cm y b= 10.5 cm

(De las opciones de respuesta dadas en el ejercicio ,ninguna corresponde a la respuesta hallada)

Step-by-step explanation:

Two quantities in real life that vary directly with each other are:

1. Distance and time: The distance covered by a moving object is directly proportional to the time taken to cover that distance. If we travel at a constant speed, then the distance covered will increase as the time taken to cover that distance increases.

2. Wages and hours worked: The wages earned by a worker are directly proportional to the number of hours worked. If the worker works more hours, then they will earn more wages.

Two quantities in real life that vary inversely with each other are:

1. Speed and travel time: The speed of a vehicle is inversely proportional to the travel time required to cover a fixed distance. If we increase our speed, then the travel time required to cover that distance will decrease.

2. Productivity and workforce size: The productivity of a company is inversely proportional to the size of its workforce. If we increase the number of workers, then the productivity per worker may decrease due to decreased efficiency, communication problems, or other factors.

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Answer:

2 angles are acute and right angles

Step-by-step explanation:

acute is less then 90 degrees and a right angles is 90

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)

Answer:

Step-by-step explanation:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Answer:

x=1, -3

Step-by-step explanation:

Answer:

Let x = Kilometers  by bus  

then x + (x + 350) = 1100

2x = 750

x = 375 by bus

x - 350 + x = 1100

2x = 1450

x = 725 by train

i hope this helps a little bit

Arithmetic overflow error converting varchar to data type numeric is an error message that occurs when attempting to convert a string (varchar) data type to a numeric data type in SQL Server, and the resulting numeric value is too large to be stored in the specified data type. This error can occur when performing calculations that exceed the maximum range of the numeric data type, or when the string value contains non-numeric characters.

When attempting to convert a varchar value to a numeric value in SQL Server, the system checks if the string value contains only numeric characters and then attempts to convert it to the specified data type. If the resulting numeric value is larger than the maximum value that can be stored in the data type, an arithmetic overflow error occurs.

For example, if you have a varchar column with the value '12345678901234567890' and you try to convert it to a numeric data type with a maximum of 18 digits, an arithmetic overflow error will occur because the resulting value is larger than the maximum value that can be stored in the data type.

To avoid this error, you can either increase the precision and scale of the numeric data type to accommodate larger values or ensure that the string value contains only numeric characters before attempting to convert it. You can also use the TRY_CONVERT function instead of CONVERT function to handle the conversion errors gracefully.

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Answer:

m divided by three equals 3 times two m plus 1.

Step-by-step explanation:

Answer:

(-4 + 7i)² = 9 + 56i ; Where x + iy is complex form.

To find the square of (-4 + 7i), we can use the formula for squaring a complex number, which states that (a + bi)² = a² + 2abi - b².

In this case, a = -4 and b = 7. Applying the formula, we have:

(-4 + 7i)² = (-4)² + 2(-4)(7i) - (7i)²

= 16 - 56i - 49i²

Since i² is equal to -1, we can substitute -1 for i²:

(-4 + 7i)² = 16 - 56i - 49(-1)

= 16 - 56i + 49

= 65 - 56i

So, (-4 + 7i)² simplifies to 65 - 56i.

If we multiply the result by 4, we get:

4(-4 + 7i)² = 4(65 - 56i)

= 260 - 224i

Therefore, 4(-4 + 7i)² is equal to 260 - 224i.

The square of (-4 + 7i) is 65 - 56i. Multiplying that result by 4 gives us 260 - 224i.

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Answer:

10$ I think

Step-by-step explanation:

2*30=60

90-60=30

30/3=10

Answer:

length = 32.5, Width = 25.5

Step-by-step explanation:

Let x rep the width. Let x plus 7 rep the length.

x + x + 7 = 58

2x=58-7

2x=51

2x/2 = 51/2

x= 25.5

x plus 7 =

= 25.5 + 7

=32.5

✨️Hope that helps✨️

The given assertion is false. The option for reason is the principal option:

"  An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

An arrangement of linear equations is a grouping of at least one linear equation with similar variables.

A linear framework solution is the task of values to variables so that the equations are all concurrently satisfied.

For an arrangement of equations, three types of solutions exist:-

One solution: When the lines (planes) converge at a point.

No Solution: When the lines (planes) are parallel.

Infinitely numerous solutions: When the lines (planes) overlap one another.

Subsequently, the given assertion is false. The option for reason is the principal option:

" The assertion is false. An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

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refer to the attachment for the complete question:

Answer:

4

Step-by-step explanation:

divide them

Hey there!

16 1 / 4% = 16(4) + 1 = 64 + 1 = 65

65 / 4% = 16.25%

• Percentages usually run out of 100

16.25 / 100

• Finding out the ratio of your given number, multiply the numerator and denominator by the number 4

16.25 * 4 / 100 * 4

16.25 * 4 = 65 (numerator)

100 * 4 = 400 (denominator)

• Equation: 65 / 400

• REDUCE the GIVEN FRACTION (65/400)

• Once when you have the fraction reduced you should have came up with: 13/80 (aka your answer)

• Answer: 13/80 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)